100210210112120 has 32 divisors (see below), whose sum is σ = 225694241708400. Its totient is φ = 40044747341568.

The previous prime is 100210210112069. The next prime is 100210210112137. The reversal of 100210210112120 is 21211012012001.

It is a junction number, because it is equal to n+sod(n) for n = 100210210112095 and 100210210112104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1229230709 + ... + 1229312228.

Almost surely, 2^{100210210112120} is an apocalyptic number.

100210210112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210210112120 is an abundant number, since it is smaller than the sum of its proper divisors (125484031596280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100210210112120 is a wasteful number, since it uses less digits than its factorization.

100210210112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458543967 (or 2458543963 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210210112120 its reverse (21211012012001), we get a palindrome (121421222124121).

The spelling of 100210210112120 in words is "one hundred trillion, two hundred ten billion, two hundred ten million, one hundred twelve thousand, one hundred twenty".